MHB How Does Subtracting Negative Numbers Relate to Adding?

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Subtracting a negative number is equivalent to adding its positive counterpart, which can be confusing. Specifically, subtracting 4 is the same as adding -4, while subtracting -7 is the same as adding 7. The discussion emphasizes that subtracting a positive number is akin to adding a negative number, which is the opposite of the original number. Clarification is provided that when subtracting a negative number, one is effectively adding a positive number that is the opposite of the original negative value. Understanding these relationships is crucial for grasping the concepts of addition and subtraction in mathematics.
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a. Subtracting 4 is the same as adding $\boxed{(-4)}$
b. Subtracting -7 is the same as adding $\boxed{(7)}$
c. Subtracting a positive number is the same as adding a
\boxed{negative} number, where that $\boxed{?}$ is opposite of the original number
d. Subtracting a negative number is the same as adding a
$\boxed{?}$ number, where that $\boxed{?}$ is opposite of the original number

ok they are trying to teach about using counters to add
but $\boxed{?}$ was kinda on of those boolean confusions
 
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I'm not sure what "opposite of the original number" is supposed to mean! You said before that "subtracting -7 is the same as adding 7" so you do know that "
d. Subtracting a negative number is the same as adding a POSITIVE number, where that POSITIVE number is the opposite of the original number. (If the "original number" is -7 then the "positive number" is 7.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

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